Math 1220 Chapter 1 Questions with
complete solution 2026/2027
linear equation - correct answer ✔an equation that can be written in the form a1x1+a2x2+...+anxn
where a1,...,an are real or complex numbers that we call coefficients and xi,...,xn are variables
System of linear equations - correct answer ✔a collection of one or more linear equations involving
the same variables
Solution - correct answer ✔a list (s1,s2,...,sn) of numbers that makes each equation a true statement
when s1,...,sn are substituted for x1,...,xn respectively
Solution set - correct answer ✔the set of all possible solutions
Equivalent - correct answer ✔two linear systems are equivalent if they have the same solution set
How large can a solution set be - correct answer ✔there can be no solutions, one solution, or infinitely
many solutions
consistent linear system - correct answer ✔a system that has one or infinitely many solutions
inconsistent linear system - correct answer ✔a system that has no solutions
matrix of size mxn - correct answer ✔a rectangular array of numbers with m rows and n columns,
where m and n are positive integers
Name the three row elementary operations - correct answer ✔Replacement
complete solution 2026/2027
linear equation - correct answer ✔an equation that can be written in the form a1x1+a2x2+...+anxn
where a1,...,an are real or complex numbers that we call coefficients and xi,...,xn are variables
System of linear equations - correct answer ✔a collection of one or more linear equations involving
the same variables
Solution - correct answer ✔a list (s1,s2,...,sn) of numbers that makes each equation a true statement
when s1,...,sn are substituted for x1,...,xn respectively
Solution set - correct answer ✔the set of all possible solutions
Equivalent - correct answer ✔two linear systems are equivalent if they have the same solution set
How large can a solution set be - correct answer ✔there can be no solutions, one solution, or infinitely
many solutions
consistent linear system - correct answer ✔a system that has one or infinitely many solutions
inconsistent linear system - correct answer ✔a system that has no solutions
matrix of size mxn - correct answer ✔a rectangular array of numbers with m rows and n columns,
where m and n are positive integers
Name the three row elementary operations - correct answer ✔Replacement
